Show that this vector space spans V
$begingroup$
Im unsure how to approach this.
linear-algebra vector-spaces
asked Jan 6 at 12:53
user607735user607735
103
$endgroup$
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$begingroup$
Im unsure how to approach this.
linear-algebra vector-spaces
asked Jan 6 at 12:53
user607735user607735
103
$endgroup$
add a comment |
$begingroup$
Im unsure how to approach this.
linear-algebra vector-spaces
asked Jan 6 at 12:53
user607735user607735
103
$endgroup$
Im unsure how to approach this.
linear-algebra vector-spaces
linear-algebra vector-spaces
asked Jan 6 at 12:53
user607735user607735
103
asked Jan 6 at 12:53
user607735user607735
103
asked Jan 6 at 12:53
user607735user607735
103
asked Jan 6 at 12:53
user607735user607735
103
asked Jan 6 at 12:53
user607735user607735
103
103
add a comment |
add a comment |
1 Answer
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$begingroup$
Hint:
The inclusion $langle v_1,dots,v_{n-2}rangle subset langle v_1,dots,v_{n}rangle$ is obvious.
To prove the reverse inclusion, you just have to prove that $v_nin langle v_1,dots,v_{n-2}rangle$. (For $v_{n-1}$, this is by hypothesis).
answered Jan 6 at 13:02
BernardBernard
119k639112
$endgroup$
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Hint:
The inclusion $langle v_1,dots,v_{n-2}rangle subset langle v_1,dots,v_{n}rangle$ is obvious.
To prove the reverse inclusion, you just have to prove that $v_nin langle v_1,dots,v_{n-2}rangle$. (For $v_{n-1}$, this is by hypothesis).
answered Jan 6 at 13:02
BernardBernard
119k639112
$endgroup$
add a comment |
$begingroup$
Hint:
The inclusion $langle v_1,dots,v_{n-2}rangle subset langle v_1,dots,v_{n}rangle$ is obvious.
To prove the reverse inclusion, you just have to prove that $v_nin langle v_1,dots,v_{n-2}rangle$. (For $v_{n-1}$, this is by hypothesis).
answered Jan 6 at 13:02
BernardBernard
119k639112
$endgroup$
add a comment |
$begingroup$
Hint:
The inclusion $langle v_1,dots,v_{n-2}rangle subset langle v_1,dots,v_{n}rangle$ is obvious.
To prove the reverse inclusion, you just have to prove that $v_nin langle v_1,dots,v_{n-2}rangle$. (For $v_{n-1}$, this is by hypothesis).
answered Jan 6 at 13:02
BernardBernard
119k639112
$endgroup$
Hint:
The inclusion $langle v_1,dots,v_{n-2}rangle subset langle v_1,dots,v_{n}rangle$ is obvious.
To prove the reverse inclusion, you just have to prove that $v_nin langle v_1,dots,v_{n-2}rangle$. (For $v_{n-1}$, this is by hypothesis).
answered Jan 6 at 13:02
BernardBernard
119k639112
answered Jan 6 at 13:02
BernardBernard
119k639112
answered Jan 6 at 13:02
BernardBernard
119k639112
answered Jan 6 at 13:02
BernardBernard
119k639112
119k639112
add a comment |
add a comment |
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